llvm-project/polly/lib/Support/ISLTools.cpp

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//===------ ISLTools.cpp ----------------------------------------*- C++ -*-===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
// Tools, utilities, helpers and extensions useful in conjunction with the
// Integer Set Library (isl).
//
//===----------------------------------------------------------------------===//
#include "polly/Support/ISLTools.h"
using namespace polly;
namespace {
/// Create a map that shifts one dimension by an offset.
///
/// Example:
/// makeShiftDimAff({ [i0, i1] -> [o0, o1] }, 1, -2)
/// = { [i0, i1] -> [i0, i1 - 1] }
///
/// @param Space The map space of the result. Must have equal number of in- and
/// out-dimensions.
/// @param Pos Position to shift.
/// @param Amount Value added to the shifted dimension.
///
/// @return An isl_multi_aff for the map with this shifted dimension.
IslPtr<isl_multi_aff> makeShiftDimAff(IslPtr<isl_space> Space, int Pos,
int Amount) {
auto Identity = give(isl_multi_aff_identity(Space.take()));
if (Amount == 0)
return Identity;
auto ShiftAff = give(isl_multi_aff_get_aff(Identity.keep(), Pos));
ShiftAff = give(isl_aff_set_constant_si(ShiftAff.take(), Amount));
return give(isl_multi_aff_set_aff(Identity.take(), Pos, ShiftAff.take()));
}
/// Construct a map that swaps two nested tuples.
///
/// @param FromSpace1 { Space1[] }
/// @param FromSpace2 { Space2[] }
///
/// @return { [Space1[] -> Space2[]] -> [Space2[] -> Space1[]] }
IslPtr<isl_basic_map> makeTupleSwapBasicMap(IslPtr<isl_space> FromSpace1,
IslPtr<isl_space> FromSpace2) {
assert(isl_space_is_set(FromSpace1.keep()) != isl_bool_false);
assert(isl_space_is_set(FromSpace2.keep()) != isl_bool_false);
auto Dims1 = isl_space_dim(FromSpace1.keep(), isl_dim_set);
auto Dims2 = isl_space_dim(FromSpace2.keep(), isl_dim_set);
auto FromSpace = give(isl_space_wrap(isl_space_map_from_domain_and_range(
FromSpace1.copy(), FromSpace2.copy())));
auto ToSpace = give(isl_space_wrap(isl_space_map_from_domain_and_range(
FromSpace2.take(), FromSpace1.take())));
auto MapSpace = give(
isl_space_map_from_domain_and_range(FromSpace.take(), ToSpace.take()));
auto Result = give(isl_basic_map_universe(MapSpace.take()));
for (auto i = Dims1 - Dims1; i < Dims1; i += 1) {
Result = give(isl_basic_map_equate(Result.take(), isl_dim_in, i,
isl_dim_out, Dims2 + i));
}
for (auto i = Dims2 - Dims2; i < Dims2; i += 1) {
Result = give(isl_basic_map_equate(Result.take(), isl_dim_in, Dims1 + i,
isl_dim_out, i));
}
return Result;
}
/// Like makeTupleSwapBasicMap(IslPtr<isl_space>,IslPtr<isl_space>), but returns
/// an isl_map.
IslPtr<isl_map> makeTupleSwapMap(IslPtr<isl_space> FromSpace1,
IslPtr<isl_space> FromSpace2) {
auto BMapResult =
makeTupleSwapBasicMap(std::move(FromSpace1), std::move(FromSpace2));
return give(isl_map_from_basic_map(BMapResult.take()));
}
} // anonymous namespace
IslPtr<isl_map> polly::beforeScatter(IslPtr<isl_map> Map, bool Strict) {
auto RangeSpace = give(isl_space_range(isl_map_get_space(Map.keep())));
auto ScatterRel = give(Strict ? isl_map_lex_gt(RangeSpace.take())
: isl_map_lex_ge(RangeSpace.take()));
return give(isl_map_apply_range(Map.take(), ScatterRel.take()));
}
IslPtr<isl_union_map> polly::beforeScatter(IslPtr<isl_union_map> UMap,
bool Strict) {
auto Result = give(isl_union_map_empty(isl_union_map_get_space(UMap.keep())));
foreachElt(UMap, [=, &Result](IslPtr<isl_map> Map) {
auto After = beforeScatter(Map, Strict);
Result = give(isl_union_map_add_map(Result.take(), After.take()));
});
return Result;
}
IslPtr<isl_map> polly::afterScatter(IslPtr<isl_map> Map, bool Strict) {
auto RangeSpace = give(isl_space_range(isl_map_get_space(Map.keep())));
auto ScatterRel = give(Strict ? isl_map_lex_lt(RangeSpace.take())
: isl_map_lex_le(RangeSpace.take()));
return give(isl_map_apply_range(Map.take(), ScatterRel.take()));
}
IslPtr<isl_union_map> polly::afterScatter(NonowningIslPtr<isl_union_map> UMap,
bool Strict) {
auto Result = give(isl_union_map_empty(isl_union_map_get_space(UMap.keep())));
foreachElt(UMap, [=, &Result](IslPtr<isl_map> Map) {
auto After = afterScatter(Map, Strict);
Result = give(isl_union_map_add_map(Result.take(), After.take()));
});
return Result;
}
IslPtr<isl_map> polly::betweenScatter(IslPtr<isl_map> From, IslPtr<isl_map> To,
bool InclFrom, bool InclTo) {
auto AfterFrom = afterScatter(From, !InclFrom);
auto BeforeTo = beforeScatter(To, !InclTo);
return give(isl_map_intersect(AfterFrom.take(), BeforeTo.take()));
}
IslPtr<isl_union_map> polly::betweenScatter(IslPtr<isl_union_map> From,
IslPtr<isl_union_map> To,
bool InclFrom, bool InclTo) {
auto AfterFrom = afterScatter(From, !InclFrom);
auto BeforeTo = beforeScatter(To, !InclTo);
return give(isl_union_map_intersect(AfterFrom.take(), BeforeTo.take()));
}
IslPtr<isl_map> polly::singleton(IslPtr<isl_union_map> UMap,
IslPtr<isl_space> ExpectedSpace) {
if (!UMap)
return nullptr;
if (isl_union_map_n_map(UMap.keep()) == 0)
return give(isl_map_empty(ExpectedSpace.take()));
auto Result = give(isl_map_from_union_map(UMap.take()));
assert(!Result || isl_space_has_equal_tuples(
give(isl_map_get_space(Result.keep())).keep(),
ExpectedSpace.keep()) == isl_bool_true);
return Result;
}
IslPtr<isl_set> polly::singleton(IslPtr<isl_union_set> USet,
IslPtr<isl_space> ExpectedSpace) {
if (!USet)
return nullptr;
if (isl_union_set_n_set(USet.keep()) == 0)
return give(isl_set_empty(ExpectedSpace.copy()));
auto Result = give(isl_set_from_union_set(USet.take()));
assert(!Result || isl_space_has_equal_tuples(
give(isl_set_get_space(Result.keep())).keep(),
ExpectedSpace.keep()) == isl_bool_true);
return Result;
}
unsigned polly::getNumScatterDims(NonowningIslPtr<isl_union_map> Schedule) {
unsigned Dims = 0;
foreachElt(Schedule, [&Dims](IslPtr<isl_map> Map) {
Dims = std::max(Dims, isl_map_dim(Map.keep(), isl_dim_out));
});
return Dims;
}
IslPtr<isl_space>
polly::getScatterSpace(NonowningIslPtr<isl_union_map> Schedule) {
if (!Schedule)
return nullptr;
auto Dims = getNumScatterDims(Schedule);
auto ScatterSpace =
give(isl_space_set_from_params(isl_union_map_get_space(Schedule.keep())));
return give(isl_space_add_dims(ScatterSpace.take(), isl_dim_set, Dims));
}
IslPtr<isl_union_map>
polly::makeIdentityMap(NonowningIslPtr<isl_union_set> USet,
bool RestrictDomain) {
auto Result = give(isl_union_map_empty(isl_union_set_get_space(USet.keep())));
foreachElt(USet, [=, &Result](IslPtr<isl_set> Set) {
auto IdentityMap = give(isl_map_identity(
isl_space_map_from_set(isl_set_get_space(Set.keep()))));
if (RestrictDomain)
IdentityMap =
give(isl_map_intersect_domain(IdentityMap.take(), Set.take()));
Result = give(isl_union_map_add_map(Result.take(), IdentityMap.take()));
});
return Result;
}
IslPtr<isl_map> polly::reverseDomain(IslPtr<isl_map> Map) {
auto DomSpace =
give(isl_space_unwrap(isl_space_domain(isl_map_get_space(Map.keep()))));
auto Space1 = give(isl_space_domain(DomSpace.copy()));
auto Space2 = give(isl_space_range(DomSpace.take()));
auto Swap = makeTupleSwapMap(std::move(Space1), std::move(Space2));
return give(isl_map_apply_domain(Map.take(), Swap.take()));
}
IslPtr<isl_union_map>
polly::reverseDomain(NonowningIslPtr<isl_union_map> UMap) {
auto Result = give(isl_union_map_empty(isl_union_map_get_space(UMap.keep())));
foreachElt(UMap, [=, &Result](IslPtr<isl_map> Map) {
auto Reversed = reverseDomain(std::move(Map));
Result = give(isl_union_map_add_map(Result.take(), Reversed.take()));
});
return Result;
}
IslPtr<isl_set> polly::shiftDim(IslPtr<isl_set> Set, int Pos, int Amount) {
int NumDims = isl_set_dim(Set.keep(), isl_dim_set);
if (Pos < 0)
Pos = NumDims + Pos;
assert(Pos < NumDims && "Dimension index must be in range");
auto Space = give(isl_set_get_space(Set.keep()));
Space = give(isl_space_map_from_domain_and_range(Space.copy(), Space.copy()));
auto Translator = makeShiftDimAff(std::move(Space), Pos, Amount);
auto TranslatorMap = give(isl_map_from_multi_aff(Translator.take()));
return give(isl_set_apply(Set.take(), TranslatorMap.take()));
}
IslPtr<isl_union_set> polly::shiftDim(IslPtr<isl_union_set> USet, int Pos,
int Amount) {
auto Result = give(isl_union_set_empty(isl_union_set_get_space(USet.keep())));
foreachElt(USet, [=, &Result](IslPtr<isl_set> Set) {
auto Shifted = shiftDim(Set, Pos, Amount);
Result = give(isl_union_set_add_set(Result.take(), Shifted.take()));
});
return Result;
}
void polly::simplify(IslPtr<isl_set> &Set) {
Set = give(isl_set_compute_divs(Set.take()));
Set = give(isl_set_detect_equalities(Set.take()));
Set = give(isl_set_coalesce(Set.take()));
}
void polly::simplify(IslPtr<isl_union_set> &USet) {
USet = give(isl_union_set_compute_divs(USet.take()));
USet = give(isl_union_set_detect_equalities(USet.take()));
USet = give(isl_union_set_coalesce(USet.take()));
}
void polly::simplify(IslPtr<isl_map> &Map) {
Map = give(isl_map_compute_divs(Map.take()));
Map = give(isl_map_detect_equalities(Map.take()));
Map = give(isl_map_coalesce(Map.take()));
}
void polly::simplify(IslPtr<isl_union_map> &UMap) {
UMap = give(isl_union_map_compute_divs(UMap.take()));
UMap = give(isl_union_map_detect_equalities(UMap.take()));
UMap = give(isl_union_map_coalesce(UMap.take()));
}